nadiaperry256 nadiaperry256
  • 30-08-2020
  • Mathematics
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There are two numbers which add up to 20. If one number is five more than four times the other, find the numbers.

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sqdancefan
sqdancefan sqdancefan
  • 30-08-2020

Answer:

  3 and 17

Step-by-step explanation:

Let x and y represent the numbers.

  x + y = 20 . . . . . . . . the numbers add up to 20

  x = 5 + 4y . . . . . . . . one number is 5 more than 4 times the other

Substituting the second equation into the first:

  (5 +4y) +y = 20

  5y = 15 . . . . . . . . . . subtract 5

  y = 3 . . . . . . . . . . . . divide by 5

  x = 20 -3 = 17

The numbers are 17 and 3.

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